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140905440 = 25335132193
BaseRepresentation
bin10000110011000…
…00101111100000
3100211010201221000
420121200233200
5242032433230
621552032000
73330451014
oct1031405740
9324121830
10140905440
11725a0385
123b232600
1323266500
14149dc544
15c584b60
hex8660be0

140905440 has 288 divisors, whose sum is σ = 536790240. Its totient is φ = 34504704.

The previous prime is 140905421. The next prime is 140905451. The reversal of 140905440 is 44509041.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 729984 + ... + 730176.

It is an arithmetic number, because the mean of its divisors is an integer number (1863855).

Almost surely, 2140905440 is an apocalyptic number.

140905440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140905440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268395120).

140905440 is an abundant number, since it is smaller than the sum of its proper divisors (395884800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

140905440 is a wasteful number, since it uses less digits than its factorization.

140905440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 140905440 is about 11870.3597249620. The cubic root of 140905440 is about 520.3664084231.

The spelling of 140905440 in words is "one hundred forty million, nine hundred five thousand, four hundred forty".